Syllabus for VIT M.Tech Entrance Exam after B tech ECE

Give me syllabus for VIT Engineering Entrance Examination for admission in VIT university ?

[Arun Vats]

Here I am giving you syllabus for VIT Engineering Entrance Examination for admission in VIT university below :

VITMEE 2014 Syllabus – Electronics And Communication Engineering (EC)

ENGINEERING MATHEMATICS
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.

Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems.

Differential equations: First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy’s and Euler’s equations, Initial and boundar y Va l u e problems, Pa r t ia l Diffe re nti a l Equations and variable separable method.

Complex variables: Analytic functions, Cauchy ’s integral theorem and integral formula, Taylor’s and Laurent’ series, Residue theorem, solution integrals.

Numerical Methods: Solutions of non‐linear algebraic equations, single and multi ‐ s te p methods fo r differential equations.

Transform Theor y: Fo u r i e r transform, Laplace transform, Z‐transform.

NETWORK

Network graphs: Matrices associated with graphs; incidence, fundamental cut set and fundamental circuit matrices. Solution methods; nodal and mesh analysis. Network theorems; superposition, Thevenin and Nortan’s , max i m u m po we r transfe r, wye ‐ delta transformation, steady state sinusoidal analysis using phasors, fourier series, linear constant coefficient differential and difference equations; time domain analysis of simple RLC circ uits. Laplace and Z transforms: frequency domain analysis of RLC circuits, convolution, 2‐port network parameters, driving point and transfer functions, state equation for networks.

ANALOG CIRCUITS: Characteristics and equivalent circuits (large and small signal) of diodes, BJT, JFETs and MOSFET simple diode circuits: clipping, clamping, rectifier, biasing and bias stability of transistor and FET amplifiers . Amplifiers : single and multi ‐ s tag e , differential, operational, feedback and power. Analysis of amplifiers; frequency response of amplifiers. Simple op‐amp circuits. Filters. Sinusoidal oscillators: criterion fo r osci llati on; single‐ transis to r and op ‐ am p configurations. Function generators and waveshaping circuits, Power supplies.

DIGITAL CIRCUITS

Boolean algebra; minimization of Boolean functions; logic gates; digital IC families (DTL, TTL, ECL, MOS, CMOS). Combinational circuits: arithmetic circuits, code converters, multiplexers and decoders. Sequential circuits: latches and flip‐flops, counters and shift‐ registers. Comparators, timers, multivibrators. Sample and hold circuits, ADCs and DACs. Semiconductor memories. Micropro cessor (8085): architecture, programming, memory and I/O interfacing

CONTROL SYSTEMS

Basic control system components; block diagrammatic description, reduction of block diagrams, properties of systems: linearity, time‐invariance, stability, causality. Open loop and closed loop (feedback) systems. Special properties of linear time‐invariance (LTI) systems‐ transfer function, impulse response, poles, zeros, their significance and stability analysis of these systems. Signal flow graphs and their use in determining transfer functions of systems; transient and steady state analysis of LTI system and frequency response. Tools and techniques for LTI control system analysis: Root, loci, Routh_Hurwitz criterion, Bode and Nyquist plots; Control system compensators: elements of lead and lag compensations, elements of proportional‐integral‐ Derivative (PID) control. State variable representation and solution of state equation for LTI systems.

COMMUNICATION SYSTEMS

Fourier analysis of signals ‐ amplitude, phase and power spectrum, auto‐correlation and cross‐correlation and their Fourier transforms. Signal transmission through linear time‐invariant (LTI) systems, impulse response and frequency response, group delay phase delay. Analog modulation systems‐amplitude and angle modulation and demodulation sys tems, spectral analys is of thes e operations, supe rhete ro dy ne receivers, elements of hardwares realizations of analog communication systems. Basic sampling theorems. Pulse code modulation (PCM), differential pulse code modulation (DPCM), delta modulation (DM). Digital modulation schemes: amplitude, phase and frequency shift keying schemes (ASK, PSK, FSK). Multiplexing ‐ time division and frequency division. Additive Gaussian noise; characterization using correlation, probability density function (PDF), power spectral density (PSD). Signalto‐ noise ratio (SNR) calculations for amplitude modulation (AM) and frequency modulation (FM) for low noise conditions.

ELECTROMAGNETICS

Elements of vector calculus: gradient, divergence and curl; Gauss and strokes theorems, maxwells equation: differen tial and integral fo rms . Wave equation . Poynting vector. Plane waves: propagation through various media; reflection and refraction; phase and group ve l o c i t y ; skin dept h Trans m ission lines : Characteristic impedence; impedence transformation; smith chart; impedence matching pulse excitation. Wave guides: modes in rectangular waveguides; boundary conditions; cut‐off frequencies; dispersion relations. Antennas; Dipole antennas; antenna arrays; radiation pattern; reciprocity theorem, antenna gain.

I have completed B Tech ECE with 68% marks. Now I want to take admission at VIT for M.Tech Program. So I have to appear in Entrance Exam of VIT. So can you provide me syllabus of M.Tech Entrance Exam of VIT?

[Arun Vats]

Here you want to get syllabus of M.Tech Entrance Exam of VIT, so here I am giving following syllabus to you:

VIT M.Tech Entrance Exam Syllabus

Main Topics
Engineering Mathematics
Digital Circuits
Control Systems
Communication Systems
Network
Electromagnetic
Analog circuits

Engineering Mathematics

Linear Algebra:
Matrix Algebra
Eigen values and Eigen vectors
Systems of linear equations

Calculus:
Mean value theorems
Evaluation of definite and improper integrals
Maxima and minima
Fourier series
Directional derivatives
Surface and Volume integrals
Gauss and Green’s theorems
Theorems of integral calculus
Vector identities
Line
Stokes
Partial Derivatives
Multiple integrals

Differential equations:
First order equation (linear and nonlinear)
Higher order linear differential equations with constant coefficients
Initial and boundary value problems
Partial Differential Equations and variable separable method
Method of variation of parameters
Cauchy’s and Euler’s equations

Complex variables:
Analytic functions
Taylor’s and Laurent’ series
Cauchy’s integral theorem and integral formula
Solution integrals
Residue theorem

Numerical Methods:
Solutions of non-linear algebraic equations
Single and multi-step methods for differential equations

Transform Theory:
Fourier transform
Z-transform
Laplace transform

Network:

Network Graphs
Matrices associated with graph
Nodal and mesh analysis
Fundamental cut set and fundamental circuit matrices
Solution methods
Incidence

Network Theorems
Superposition
Wye-delta transformation
Laplace and Z transforms
Driving point and transfer functions
State equation for networks
Thevenin and Nortan’s maximum power transfer
Linear constant coefficient differential and difference equations
Steady state sinusoidal analysis using phasors
Fourier series
2-port network parameters
Frequency domain analysis of RLC circuits
Time domain analysis of simple RLC circuits

Analog circuits:

BJT, JFETs and MOSFET simple diode circuits
Clipping
Clamping
Rectifier
Biasing and bias stability of transistor and FET amplifiers

Amplifiers
Single and multi-stage
Differential
Operational
Feedback and power
Analysis of amplifiers
Frequency response of amplifiers
Simple op-amp circuits
Filters

Sinusoidal oscillators
Criterion for oscillation
Single-transistor and op-amp configurations
Function generators and waveshaping circuits
Power supplies

Digital Circuits:

Boolean algebra
Minimization of Boolean functions
Logic gates
Digital IC families (DTL, TTL, ECL, MOS,CMOS)

Combinational circuits
Arithmetic circuits
Code converters
Multiplexers and decoders

Sequential circuits
Latches and flip-flops
Counters and shift-registers

Microprocessor (8085)
Architecture
Programming
Memory
I/O interfacing

Control Systems:

Control Systems
Basic control system components
Block diagrammatic description
Reduction of block diagrams
Open loop and closed loop (feedback) systems

Properties of systems
Linearity
Time-invariance
Stability
Causality

Special properties of linear time-invariance (LTI)
Systems-transfer function
Impulse response
Poles
Zeros
Significance and stability analysis of these systems